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3 years ago

1

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

7/12 of a can

Step-by-step explanation:

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What number is between 7 and 8

VashaNatasha [74]

Answer:

7 1/2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need help answering these 1. And 2. <br> 10 points ⭐️<br> If helped

ratelena [41]

Well they are not in length

4 0

3 years ago

Read 2 more answers

Use the distance formula to find the perimeter. Round to the nearest tenth.

Ierofanga [76]

Answer:

37.6 units

Step-by-step explanation:

Perimeter = sum of all sides of the triangle

To find the sum, find the distance between each points.

✔️Distance between points (-7, 6) and (5, -4):

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} =$

$= \sqrt{(5 - (-7))^2 + (-4 - 6)^2}$

$= \sqrt{(12)^2 + (-10)^2}$

$= \sqrt{144 + 100}$

$= \sqrt{244} = 15.6 units$ (nearest tenth)

✔️Distance between (-7, 6) and (-7, -4):

|6 -(-4)| = 10 units

✔️Distance between (-7, -4) and (5, -4)

|-7 - 5| = 12 units

✔️ Perimeter = 15.6 + 10 + 12 = 37.6 units

6 0

3 years ago

What is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16

blsea [12.9K]

Answer:

Step-by-step explanation:

$Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================$

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}$

$\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}$

$4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D$

8 0

3 years ago

on a recent trip together nancy drove 70 miles, dave drove 45 miles and louis drove 95 miles. how many more miles did nancy driv

EleoNora [17]

She drove 25 more miles than Dave.

70 - 45= 25

6 0

3 years ago